Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
452 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #19134398 | C2 | semidirect |
| 5. #19134397 | C2 | semidirect |
| 6. #19132724 | C2 | semidirect |
| 7. C43×#1395 | C2 | semidirect |
| 8. C2×#13063333 | C4 | semidirect |
| 15. #14582922 | C4 | semidirect |
| 18. #14582865 | C4 | semidirect |
| 21. C2×#13063235 | C4 | semidirect |
| 22. #14582697 | C4 | semidirect |
| 23. #14582695 | C4 | semidirect |
| 206. #1395 | D43 | semidirect |
| 236. C43 | #12634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143310 | 2 |
| #19136278 | 2 |
| #19136258 | 2 |
| #19134398 | 2 |
| #19134397 | 2 |
| #19132724 | 2 |
| C43×#1395 | 2 |
| #12634 | 43 |